Six times a number increased by seven more than the number is 42. Find the number
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OpenStudy (anonymous):
So first we need to put this into a better form. (equation) Do you know how to do that?
OpenStudy (anonymous):
@Maddiem
OpenStudy (anonymous):
x * 6 + x + 7 = 42
Solve for x
OpenStudy (anonymous):
I think the equation is 6x+7x=42
But I don't think I'm correct 😳
OpenStudy (anonymous):
@BigPoppa117
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OpenStudy (whpalmer4):
We'll let \(x\) be our number.
"six times a number" -> \(6x\)
"seven more than the number" -> \(7+x\)
"is 42" -> \(= 42\)
\[6x + 7 + x = 42\]
can you solve that?
OpenStudy (anonymous):
Yes
OpenStudy (whpalmer4):
what do you get for the result?
OpenStudy (anonymous):
On sec
OpenStudy (anonymous):
You get x=6
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OpenStudy (whpalmer4):
show me your work...
OpenStudy (whpalmer4):
or, try putting \(x=6\) into the equation, and tell me if it is true...
OpenStudy (whpalmer4):
\[6x+x+7 =42\]\[6(6)+6 + 7 = 42\]\[36 + 6 + 7 = 42\]\[36 + 13 = 42\]I don't think that is correct, do you?
OpenStudy (anonymous):
No
OpenStudy (anonymous):
X=5
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OpenStudy (anonymous):
Sorry I knew the answer was 5 I just screwed up thinking 35 divided by 7 was 6. My bad. I'm sorry
OpenStudy (whpalmer4):
first time I looked at the problem I concluded that \(x=7\)
but then I always check my answers, and saved myself a bit of embarrassment :-)